Changes

|}

|}

From the relational representation of <math>\operatorname{Sym} \{ a, b, c \} \cong S_3,</math> one easily derives a ''linear representation'' of the group by viewing each permutation as a linear transformation that maps the elements of a suitable vector space into each other.  Each of these linear transformations is in turn represented by the a 2-dimensional array of coefficients in <math>\mathbb{B},</math> resulting in the following set of matrices for the group:

From the relational representation of <math>\operatorname{Sym} \{ a, b, c \} \cong S_3,</math> one easily derives a ''linear representation'' of the group by viewing each permutation as a linear transformation that maps the elements of a suitable vector space onto each other.  Each of these linear transformations is in turn represented by a 2-dimensional array of coefficients in <math>\mathbb{B},</math> resulting in the following set of matrices for the group:

<br>

<br>